Answer:
Two roots are:
[tex]x = \frac{ 5 + \sqrt{19}}{6}\\x = \frac{ 5 - \sqrt{19}}{6}[/tex]
Step-by-step explanation:
[tex]6x^2 = 10x - 1\\6x^2 - 10x + 1 = 0\\\\x = \frac{ 10 + \sqrt{10^2-4*6}}{2*6}\\x = \frac{ 10 + \sqrt{76}}{12}\\x = \frac{ 5 + \sqrt{19}}{6}\\x = \frac{ 5 - \sqrt{19}}{6}[/tex]
8) The graphical representation of a linear polynomial is
Curve
Straight line
Parabola
Circle
Answer:
Straight line
Step-by-step explanation:
if for a linear polynomial ax + b, a ≠ 0, the graph of y = ax + b is a straight line which intersects the x-axis at exactly one point, namely, (- b/a, 0). Also, this linear polynomial has only one zero which is the x-coordinate of the point where the graph of y = ax + b intersects the x-axis.
What is the answer to (m^2-7m-11)/(m-8)
Answer:
The final quotient is [tex]\bold{m+1-\frac{3}{m-8}}[/tex].
Step-by-step explanation:
This problem can be solved using two methods: long polynomial division and synthetic division.
Method 1: Long Polynomial Division
We can use long polynomial division to solve the equation. The steps are detailed below the work.
[tex]\displaystyle{\begin{array}{r}\bold{m+1-\frac{3}{m-8}\phantom{)}\\m-8{\overline{\smash{\big)}\,m^2-7m-11\phantom{)}}}\\\underline{-~\phantom{(}m^2-8m\phantom{-b)}}\\m-11\phantom{)}\\\underline{-~\phantom{()}m-8}\\-3\phantom{)}\end{array}}[/tex]
Steps
Set up your division. Place the divisor (the binomial) on the left hand side of the division symbol and the trinomial (or polynomial depending on the amount of terms) on the right hand side of the equation.Divide the divisor by the first term of the trinomial: [tex]\frac{m^2}{m}=m[/tex]Place the result above the first term of the trinomial (above the bar and directly above the first term of the polynomial.Multiply the m by the divisor: [tex]m(m-8) = m^2-8m[/tex]. Subtract this from the original trinomial: [tex](m^2-7m-11)-(m^2-8m)=m - 11[/tex]. Set this below the equation and then divide the leading term of the divisor by the leading term of the remainder: [tex]\frac{m}{m}=1[/tex].Place this to the right of the m located above - in this case, we add because our result is positive.Multiply that by the divisor: [tex]1(m-8)=m-8[/tex].Set this below the remainder from the previous division and subtract: [tex](m-11)-(m-8)=-3[/tex].Finally, divide the original divisor by the remainder: [tex]\frac{-3}{m-8}[/tex]. This divisor needs simplified: [tex]-\frac{3}{m-8}[/tex].Our final new polynomial (once evaluated), is [tex]\bold{m+1-\frac{3}{m-8}}[/tex].Method 2: Synthetic Division
We can also use synthetic division to solve the polynomial.
Table 1 (actual) Table 2 (model)
[tex]\begin{array}{c|ccc}8 & 1 & -7 & -11 \\ & \downarrow & 8 & 8 \\ \cline{2-4} \multicolumn{1}{c}{} & 1 & 1 & -3\end{array}[/tex] [tex]\begin{array}{c|ccc}a & b & c & d \\ & \downarrow & e & f \\ \cline{2-4} \multicolumn{1}{c}{} & g & h & i\end{array}[/tex]
Steps
Determine the coefficients of the polynomial: [tex]m^2-7m-11[/tex]. These are 1, -7, and -11. We need to determine the zero. We do this by setting the divisor equal to zero: [tex]m-8=0\rightarrow m=8[/tex]. Place this value in the upper left hand corner (in place of a).For the first term, we just drop the coefficient below the bar. Therefore, g becomes 1.Multiply a by g to get e : [tex]8 \times 1 = 8[/tex]. Therefore, e becomes 8.Add c to e : [tex]-7 + 8 = 1[/tex]. Therefore, h becomes 1. Multiply a by h to get f : [tex]8 \times 1 = 8[/tex]. Therefore, f becomes 8.Add d to f to get i : [tex]-11 + 8 = -3[/tex]. Therefore, i becomes -3.Our new coefficients are 1, 1, and -3. We lose one power (if the first term is squared, it now does not have an exponent).Use the new coefficients to get our new equation: [tex]m+1-3[/tex].Finally, the last term is the remainder. So, we divide this by the divisor: [tex]m+1-\frac{3}{m-8}[/tex].Our final expression is [tex]\bold{m+1-\frac{3}{m-8}}[/tex].How many solutions does the equation 5x + 3x − 4 = 10 have?
a
Zero
b
One
c
Two
d
Infinitely many
Answer:
1.75
Step-by-step explanation:
5x + 3x - 4 = 10
Add Four To Both Sides To Begin Simplifying.
5x + 3x = 14
Now, Combine Like Terms.
8x = 14
Divide:
8x/8 = 1X = X
14/8
X = 14/8
14/8 = 1.75
X = 1.75
Check:
(5 * 1.75) + (3*1.75) - 4 = 10
8.75 + 5.25 - 4 = 10
14 - 4 = 10
10 = 10. This Is True, So X Does Equal 1.75
Answer:
The answer should be B; one answer
Step-by-step explanation:
After solving this equation, I came up with the answer 0.75, therefore there is only one answer.
What can be concluded about a pair of triangles with some congruent corresponding parts? Select all that apply.
The two triangles are sometimes congruent.
A conclusion cannot be made based on the given information.
The two triangles are always congruent.
The two triangles are never congruent.
Answer:
The two triangles are sometimes congruent.
Step-by-step explanation:
I did it and got it correct
Jennifer has already driven 160 miles on her trip to her grandparents' house. For every hour she travels, she drives an additional 55 miles. Which equation represents
the relationship between the total miles driven, y, and the number of hours, X.
Y=
Answer:
y=55x+160
Step-by-step explanation:
i might be wrong, but i think it would be y=55x+160
Answer:
y=55x+160
Step-by-step explanation:
she starts at 160 mi which is like your y-intercept so the "b" in y=mx+b. the slope or "m" would be 55 because thats how much she's travelling per 1 x or 1 hour
Yo can someone help me out
Answer:
The answer is 1/20
Step-by-step explanation:
Answer: 1/20 in fraction form. 0.05 in decimal form.
Step-by-step explanation:
1/5 ÷ 4 = 1/20 in fraction form. 1/5 ÷ 4 = 0.05 in decimal form.
please helpppppp :((
Answer:
[tex]4^{21}[/tex]
Step-by-step explanation:
[tex]\frac{4^{12}}{4^{-9}}\\[/tex]
Given 4 = a
From the properties of exponents for the example...
[tex]\frac{a^4}{a^{-2}} = \frac{a*a*a*a}{\frac{1}{a^2} } = (a*a*a*a)*a^2 = a^4 * a^2 = a^{4+2} = a^6[/tex]
Therefore, the answer is....
[tex]4^{12}*4^{9} = 4^{12+9} = 4^{21}[/tex]
Which ratio is proportional to 18/28 ?
Help me plzzzz i will give brainliest
Answer:
18/21 = 30/35
Step-by-step explanation:
so the problem says 18/21 so if that's the correct ratio to proportion to the answer would be. 30/35. the reason is that you can divide 18 and 21 by 3 to get 6/7 then if you multiply by 5 you get 30/35. Dividing and multiplying both the denominator and numerator keeps the ratio proportional.
What is the value of y in the solution to the system of equations below?
11x + 12y = 13
14x + 15y = 16
Answer:
(-1,2) is the answer
identify the equation in the point-slope form the line parallel to y=3/4x-4 that passes through (-1,7)
what are the slope and y-intercept of the line y=3x -4?
===========================================================
This equation is written in slope-intercept form, which looks like so:-
[tex]\bigstar{\boxed{y=mx+b}[/tex]
where
m is the slope
b is the y-intercept
Now, what is the slope?
Hint:- The slope is the coefficient of x, and the y-intercept is the constant.
That's right! The slope is 3, and the y-intercept is -4.
=========================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Please answer !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!!!!!
What is the slope of the line that passes through the points (5,-4) and (7,-4)? write your answer in simplest form
Answer:
0
Step-by-step explanation:
Because there are two negatives of the same number, we can instantly know that this would be 0.
Answer: 0
on this one it can’t be undefined so put 0 and you will get it correct
what is the percent of increase from 4000 to 7000?
(write the answer using a percent sign (%).
please help!!
Answer:
75%
Step-by-step explanation:
Answer:
75%Step-by-step explanation:
7000 - 4000 = 3000
percentage of increase = 3000 / 4000
= 0.75 x 100
= 75%
check:
= 4000 x 1.75
= 7000 ok
Write the equation of the line passing through points (2,-2) and (1,0) in slope intercept form.
Answer:
y=-2x+2
Step-by-step explanation:
hope it helps!
Answer:
y = -2x + 2
Step-by-step explanation:
find the slope then use the point slope formula to get to y = -2x + 2.
Given the information in the diagram, which theorem
best justifies why lines e and f must be parallel?
оооо
alternate interior angles theorem
same side interior angles theorem
converse of the alternate interior angles theorem
O converse of the same side interior angles theorem
Answer:
the answer is D
Step-by-step explanation:
edu 2021
7/2x + 1/2x = 2 1/2 + 9/2x
solve.
Answer:
x = -121
Step-by-step explanation:
(7/2)*x+(1/2)*x = (9/2)*x+121/2 // - (9/2)*x+121/2
(7/2)*x+(1/2)*x-((9/2)*x)-(121/2) = 0
(7/2)*x+(1/2)*x+(-9/2)*x-121/2 = 0
-1/2*x-121/2 = 0 // + 121/2
-1/2*x = 121/2 // : -1/2
x = 121/2/(-1/2)
x = -121
Plzz help!!
Are the two triangles below similar?
(6 points)
1) No, because the corresponding sides are not proportional
2) Yes, because the corresponding sides are proportional
3) No, because there are not two pairs of congruent corresponding angles
4) Yes, because there are two pairs of congruent corresponding angles
Answer:
Step-by-step explanation:
Yes plzz give me brainliest
what is the locus of the tip of a minute hand of a watch
Answer:
The locus of the moving end of the minute hand of the clock will be a circle where radius will be the length of the minute hand
Which one is bigger -4 or -3
Answer:
the answer is -3 because -3 is closer to 0 than -4
find the LCM and HCF of 110 and 220 by prime factorization, what do u observe
Answer:
GCF= 2 x 5 x 11 = 110
LCM= 2 x 2 x 5 x 11 = 220
Step-by-step explanation:
James and Ahmik went to a bicycle show. Of the bicycles they saw at the show, 32% were blue, 25% were red, 25% were green, and 18% were black. In ratio form, what percent of the bicycles were red or black?
Answer: 43:100
Step-by-step explanation:
Percentage of bicycles that are blue = 32%
Percentage of bicycles that are red = 25%
Percentage of bicycles that are green = 25%
Percentage of bicycles that are black = 18%
Percentage of bicycles that are red or black = 25% + 18% = 43%
Therefore, 43% will be written in ratio form as 43:100
may someone please help me with this ill give brainlyest if i figure out how to
Answer: 5
Step-by-step explanation:
5x3+6=21
5x5=25
25-21=4
Let "the number" = [tex]n[/tex]
[tex]6 + 3n = 5n - 4[/tex]
[tex]6 + 3n - 5n = -4[/tex]
[tex]6 - 2n = -4[/tex]
[tex]-2n = -10[/tex]
[tex]n = 5[/tex]
Check my work:
Six added to 3 times (5) is equal to 4 less than 5 times (5)
Six added to 15 is equal to 4 less than 25
21 is equal to 21
sum1 please help me!!! its for math ughhh iv beeen stuck on this problem for a long time apromenctly an hour-
Answer:
i believe the answer would be 7
Step-by-step explanation:
3 + 20 ÷ 5 = 7
Answer:
5 x (3 + y) = 20
Step-by-step explanation:
The total amount collected is 20, so it goes on the right side of the = sign. There was a total of 5 students and each student had to pay an attendance fee of $3, so you need to multiply 5 by 3 because each student had to pay the fee. The students also need to pay a fee for supplies, but we do not know what that amount is, so we put a variable in its place. We need to put the total amount of money that each student pays together, so we put it in parentheses. We put the 5 outside of the parentheses, which are on the left side of the = sign. When you solve this equation, you would find that the supply cost would have to be $1 each.
In AWXY, the measure of ZY=90°, XW = 85, WY = 77, and YX = 36. What is the
value of the cosine of ZW to the nearest hundredth?
Answer:
0.91
Step-by-step explanation:
Mara and alex are running laps around a track. Alex completes a lap every 45 secs and Mara every 36. If they starts at the same time, how long will it be until they cross the start line together? Plz its for homework that is due TOMORROW...
Answer:
180
Step-by-step explanation:
Keep multiplying 45 until you get a number divisible by 36. This is called the least common multiple.
1,900 + 76x. Use the Distributive Property to factor the expression.
Which statements are correct interpretations of this graph?
Select each correct answer.
6/10 of a page is edited per minute
3 pages are edited every 5 min
1 2/3 of a page is edited per minute
5 pages are edited every 3 min
Answer:
✅6/10 of a page is edited per minute
✅3 pages are edited every 5 min
Step-by-step explanation:
On the graph, there are 3 points given, which are:
(5, 3), which means 3 pages are edited every 5 mins
(10, 6), which means 6 pages are edited every 10 mins.
(15, 9), which means 9 pages are edited every 9 mins.
Pages edited per minute, using the point (10, 6) would be:
y/x = 6/10. This means ⁶/10 of a page is edited per minute
The correct statements that interprets the graph are:
✅6/10 of a page is edited per minute
✅3 pages are edited every 5 min
Answer:
Step-by-step explanation: 6/10 paiges 3 purges
For football tryouts at a local school, 16 coaches and 44 players split into groups. Each group will have the same numbers of coaches and players. How many players will be in each group?
Answer:
11 players
Step-by-step explanation:
In a football tryouts at a local school there are 16 coaches and 44 players
Therefore spilliting then into group with similar numbers can be illustrated as follows
= 16/4
= 4 coaches each
= 44/4
= 11 players each
Hence sharing them into groups will result in 4 coaches and 11 players for each group
Help me on this please
Answer:
i think your right
Step-by-step explanation:
